On Holographic Defect Entropy
Abstract
We study a number of (3+1)- and (2+1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using holography, we compute the entanglement entropy of a (hemi-)spherical region centered on the defect (boundary). We define defect and boundary entropies from the entanglement entropy by an appropriate background subtraction. For some (3+1)-dimensional theories we find evidence that the defect/boundary entropy changes monotonically under certain renormalization group flows triggered by operators localized at the defect or boundary. This provides evidence that the g-theorem of (1+1)-dimensional field theories generalizes to higher dimensions.
Cite
@article{arxiv.1403.6475,
title = {On Holographic Defect Entropy},
author = {John Estes and Kristan Jensen and Andy O'Bannon and Efstratios Tsatis and Timm Wrase},
journal= {arXiv preprint arXiv:1403.6475},
year = {2015}
}
Comments
40 pages, 1 appendix, 6 figures (7 pdf files)